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Finding the Third Proportional to 960,102 and 2,074,236

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Solution

The third proportional to 960,102 and 2,074,236 is: 4,481,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,102 : 2,074,236 = 2,074,236 : x
  2. Step 2: Convert to fraction form
    960,102/2,074,236 = 2,074,236/x
  3. Step 3: Cross multiply
    960,102x = 2,074,236 × 2,074,236
  4. Step 4: Simplify right side
    960,102x = 4,302,454,983,696
  5. Step 5: Solve for x
    x = 4,302,454,983,696/960,102
  6. Step 6: Final answer
    x = 4,481,247.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.